762720 has 96 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 173568.

The previous prime is 762667. The next prime is 762721. The reversal of 762720 is 27267.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (762721) by changing a digit.

762720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3247 + ... + 3473.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁷⁶²⁷²⁰ is an apocalyptic number.

762720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 762720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

762720 is an abundant number, since it is smaller than the sum of its proper divisors (1995168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

762720 is a wasteful number, since it uses less digits than its factorization.

762720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 762720 is about 873.3384223770. The cubic root of 762720 is about 91.3667923421.

Adding to 762720 its reverse (27267), we get a palindrome (789987).

The spelling of 762720 in words is "seven hundred sixty-two thousand, seven hundred twenty".